Displaying similar documents to “Duality for digital nets and its applications”

What is Genselfdual?

Bouyukliev, Iliya, Bouyuklieva, Stefka, Dzhumalieva-Stoeva, Maria, Monev, Venelin (2016)

Serdica Journal of Computing

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This paper presents developed software in the area of Coding Theory. Using it, all binary self-dual codes with given properties can be classified. The programs have consequent and parallel implementations. ACM Computing Classification System (1998): G.4, E.4.

On Extremal Binary Doubly-Even Self-Dual Codes of Length 88*

Yorgova, Radinka, At, Nuray (2009)

Serdica Journal of Computing

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In this paper we present 35 new extremal binary self-dual doubly-even codes of length 88. Their inequivalence is established by invariants. Moreover, a construction of a binary self-dual [88, 44, 16] code, having an automorphism of order 21, is given. *This work was partly supported by the Norwegian Government Scholarship.

New Binary [ 70 , 35 , 12 ] Self-Dual and Binary [ 72 , 36 , 12 ] Self-Dual Doubly-Even Codes

Dontcheva, Radinka (2001)

Serdica Mathematical Journal

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∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99 In this paper we prove that up to equivalence there exist 158 binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-even codes all of which have an automorphism of order 23 and we present their construction. All these codes are new.

New Binary Extremal Self-Dual Codes of Lengths 50 and 52

Buyuklieva, Stefka (1999)

Serdica Mathematical Journal

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* This work was partially supported by the Bulgarian National Science Fund under Contract No. MM – 503/1995. New extremal binary self-dual codes of lengths 50 and 52 are constructed. Some of them are the first known codes with such weight enumerators. The structure of their automorphisms groups are shown.

Some MDS Codes over Gf(64) Connected with the Binary Doubly-Even [72,36,16] Code

Bouyuklieva, Stefka (2007)

Serdica Journal of Computing

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* The author is supported by a Return Fellowship from the Alexander von Humboldt Foundation. MDS [8,4,5] codes over a field with 64 elements are constructed. All such codes which are self-dual under a Hermitian type inner product are classified. The connection between these codes and a putative binary self- dual [72,36,16] code is considered.

Data Enhancements in a Digital Mathematical Library

Růžička, Michal, Sojka, Petr

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The quality of digital mathematical library depends on the formats and quality of data it offers. We show several enhancements of (meta)data of the Czech Digital Mathematics Library DML-CZ. We discuss possible minimalist modification of regular LaTeX documents that would simplify generating basic metadata that describes the article in an XML/MathML format. We also show a proof of concept of a method that enables us to include LaTeX source code of mathematical expressions into pdfTeX-generated...

Some new Results for Additive Self-Dual Codes over GF(4)

Varbanov, Zlatko (2007)

Serdica Journal of Computing

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* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03. Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual...